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# The sequence P is defined by Pn = 10(Pn – 1) – 2 for each integer n >

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
The sequence P is defined by Pn = 10(Pn – 1) – 2 for each integer n >  [#permalink]

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17 Dec 2018, 02:07
1
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:18) correct 7% (01:35) wrong based on 30 sessions

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The sequence P is defined by $$P_n = 10(P_{n - 1}) - 2$$ for each integer n ≥ 2. If $$P_1 = 2$$, what is the value of $$P_4$$?

A. 2
B. 18
C. 178
D. 1778
E. 1788

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Re: The sequence P is defined by Pn = 10(Pn – 1) – 2 for each integer n >  [#permalink]

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17 Dec 2018, 03:45
Bunuel wrote:
The sequence P is defined by $$P_n = 10(P_{n - 1}) - 2$$ for each integer n ≥ 2. If $$P_1 = 2$$, what is the value of $$P_4$$?

A. 2
B. 18
C. 178
D. 1778
E. 1788

p1= 2
p2= 18
p3=178
p4=1778
IMO D
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Re: The sequence P is defined by Pn = 10(Pn – 1) – 2 for each integer n >   [#permalink] 17 Dec 2018, 03:45
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